Lyapunov-type Inequalities For A System of Nonlinear Difference Equations

WEI Geng-ping

doi:10.13371/j.cnki.chin.q.j.m.2019.01.010

Chinese Quarterly Journal of Mathematics >

2019 , Vol. 34 >Issue 1: 88 - 98

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2019.01.010

Lyapunov-type Inequalities For A System of Nonlinear Difference Equations

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Department of Mathematics, Huaihua University

WEI Geng-ping(1963-), male, native of Shaoyang, Hunan, a professor of Huaihua University, engages in the theory of the functional di®erential equations and di®erence equations.

Accepted date: 2018-09-25

Online published: 2020-10-07

Supported by

supported by the NNSF of China(Grant No.41405083)； Hunan Provincial Natural Science Foundation of China(Grant No.2015JJ3098)；

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Abstract

This paper establishes several new Lyapunov-type inequalities for the system of nonlinear difference equations■,which extend/supplement and improve some related existing ones.

Key words： Lyapunov-type inequality; Linear di?erence system; Nonlinear di?erence system; Hamiltonian di?erence system

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WEI Geng-ping . Lyapunov-type Inequalities For A System of Nonlinear Difference Equations[J]. Chinese Quarterly Journal of Mathematics, 2019 , 34(1) : 88 -98 . DOI: 10.13371/j.cnki.chin.q.j.m.2019.01.010

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